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Polygon ABCD is a square.
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04 Jan 2023, 07:43
04 Jan 2023, 07:43
Expert Reply
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Question Stats:
71% (01:27) correct
28% (01:47) wrong based on 14 sessions
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GRE geometry (7).jpg [ 23.38 KiB | Viewed 1339 times ]
Polygon ABCD is a square.
Quantity A |
Quantity B |
0.6x |
The length of side CD |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Polygon ABCD is a square.
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30 Jan 2023, 05:23
30 Jan 2023, 05:23
Expert Reply
OE
The ratio of the length of a side of a square to the length of its diagonal (labeled x in this diagram) is \(1: \sqrt{2}\) because the diagonal divides the square into two right isosceles (4 5 - 4 5 - 9 0 ) triangles. You can find the length of a side of the square
by dividing x by \(\sqrt{2}\) which is 1.4 or 7/5
Side BD is x/5/7 or 5x/7
B is greater
The ratio of the length of a side of a square to the length of its diagonal (labeled x in this diagram) is \(1: \sqrt{2}\) because the diagonal divides the square into two right isosceles (4 5 - 4 5 - 9 0 ) triangles. You can find the length of a side of the square
by dividing x by \(\sqrt{2}\) which is 1.4 or 7/5
Side BD is x/5/7 or 5x/7
B is greater
gmatclubot
Re: Polygon ABCD is a square. [#permalink]
30 Jan 2023, 05:23
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